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Finding the Fourth Proportional to 200,815.88, 277,129.14 and 115,940.36

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Solution

The fourth proportional to 200,815.88, 277,129.14 and 115,940.36 is: 159,999.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,815.88 : 277,129.14 = 115,940.36 : x
  2. Step 2: Convert to fraction form
    200,815.88/277,129.14 = 115,940.36/x
  3. Step 3: Cross multiply
    200,815.88x = 277,129.14 × 115,940.36
  4. Step 4: Simplify right side
    200,815.88x = 32,130,452,258.09
  5. Step 5: Solve for x
    x = 32,130,452,258.09/200,815.88
  6. Step 6: Final answer
    x = 159,999.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.